document.write( "Question 1001233: Evaluate the expression 3-i/7-3i\r
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document.write( "What does the real number a equal?\r
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document.write( "What does the real number b equal?\r
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document.write( "Please write the result in the form a+bi \n" );
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Algebra.Com's Answer #618464 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Evaluate the expression 3-i/7-3i \n" ); document.write( "------------ \n" ); document.write( "To rationalize it (make the denominator a real number), \n" ); document.write( "multiply the NUM and the DEN by the conjugate of the DEN 7+3i. \n" ); document.write( "----- \n" ); document.write( "(3-i)/(7-3i) Use parentheses. \n" ); document.write( "--- \n" ); document.write( "(3-i)*(7+3i)/((7-3i)*(7+3i)) \n" ); document.write( "= (21 + 2i - 3i^2)/(49-9i^2) \n" ); document.write( "= (21 + 2i + 3)/(49+9) \n" ); document.write( "= (24 + 2i)/58 \n" ); document.write( " \n" ); document.write( " |